Another Exact Ground State of a 2D Quantum Antiferromagnet

Abstract

We present the exact dimer ground state of a quantum antiferromagnet on the maple-leaf lattice. A coupling anisotropy for one of the three inequivalent nearest-neighbor bonds is sufficient to stabilize the dimer state. Together with the Shastry-Sutherland Hamiltonian, we show that this is the only other model with an exact dimer ground state for all two-dimensional lattices with uniform tilings.

4 pages, 3 figures, Supplementary Material (5 pages, 5 figures)

References in corpus (5)

• "Deconfined" quantum critical points
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Disorder-Free Localization and Many-Body Quantum Scars from Magnetic Frustration
• Quantum antiferromagnet bluebellite comprising a maple-leaf lattice made of spin-1/2 Cu${}^{2+}$ ions
• Dimensional reduction in quantum spin-1/2 system on a 1/7-depleted triangular lattice

Cited by in corpus (23)

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• Noncoplanar orders and quantum disordered states in maple-leaf (anti)ferromagnets
• Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the maple leaf mineral bluebellite
• Spin-half Heisenberg antiferromagnet on a symmetric sawtooth chain: Rotation-invariant Green's functions and high-temperature series
• Candidate quantum spin liquids on the maple-leaf lattice
• Tensor network analysis of the maple-leaf antiferromagnet spangolite
• Chiral crossroads in $\mathrm{H}{\mathrm{o}}_3\mathrm{Sc}{\mathrm{O}}_6$: a tale of frustration in maple leaf lattice
• Engineering frustrated Rydberg spin models by graphical Floquet modulation
• Exact staggered dimer ground state and its stability in a two-dimensional magnet
• Ferromagnetic Haldane state and dimer multiplet state of quantum ferromagnets
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Unconventional orders in the maple-leaf ferro-antiferromagnetic Heisenberg model
• Semi-Dirac spin liquids and frustrated quantum magnetism on the trellis lattice
• Thermodynamics of the Heisenberg antiferromagnet on the maple-leaf lattice
• Covariance-based method for eigenstate factorization and generalized singlets
• Magnetization of Antiferromagnetic Cactus Graph Model with Exact Dimer Ground State
• Spin excitation of the Heisenberg antiferromagnet with frustration: from the bounce-lattice antiferromagnet through the maple-leaf-lattice antiferromagnet to the exact-dimer system
• Simplex Crystal Ground State and Magnetization Plateaus in the Spin-$1/2$ Heisenberg Model on the Ruby Lattice
• Crystallography-driven molecularization of a two-dimensional spin-$3/2$ magnet